10kN 5kN/m 1m 2m 2m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Draw shear force and bending moment diagrams for the given simply supported beam.

10kN
5kN/m
1m
2m
2m
Transcribed Image Text:10kN 5kN/m 1m 2m 2m
Expert Solution
Step 1

Draw a free body diagram converting the UDL into a point load

As UDL is given 5kn and it is acting on the 2m length

Therefore, load will be 5 x 2 = 10 kN acting on center of 1m from point B.

Civil Engineering homework question answer, Step 1, Image 1
Step 2

Take moments @A, we know the condition

Anticlockwise moment = clockwise moments

We know moment = force x perpendicular distance

RB x 5 = (10 x 1) + (10 x 4)

RB x 5 = 50

RB = 50/5= 10 kN.

 

Summation of upward force = summation of downward force

RA + RB = 10+10

RA + 10 = 20

RA = 20 – 10

RA = 10 kN

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